GCD of 427, 249, 11, 699 Calculator

Given Input numbers are 427, 249, 11, 699

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 427, 249, 11, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 249, 11, 699 is 1.

Therefore, GCD of numbers 427, 249, 11, 699 is 1

Given Input Data is 427, 249, 11, 699

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 427 is 7 x 61

Prime Factorization of 249 is 3 x 83

Prime Factorization of 11 is 11

Prime Factorization of 699 is 3 x 233

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(427, 249) = 106323

GCD(427, 249) = ( 427 x 249 ) / 106323

GCD(427, 249) = 106323 / 106323

GCD(427, 249) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 427, 249, 11, 699 is 1

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1. What is the GCD of 427, 249, 11, 699?

GCD of 427, 249, 11, 699 is 1

2. Where do I get the detailed procedure to find GCD of 427, 249, 11, 699?

You can find a detailed procedure to find GCD of 427, 249, 11, 699 on our page.

3. How to find GCD of 427, 249, 11, 699 on a calculator?

You can find the GCD of 427, 249, 11, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.